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Finding the Third Proportional to 8,021,424 and 12,100,176

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Solution

The third proportional to 8,021,424 and 12,100,176 is: 18,252,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021,424 : 12,100,176 = 12,100,176 : x
  2. Step 2: Convert to fraction form
    8,021,424/12,100,176 = 12,100,176/x
  3. Step 3: Cross multiply
    8,021,424x = 12,100,176 × 12,100,176
  4. Step 4: Simplify right side
    8,021,424x = 146,414,259,230,976
  5. Step 5: Solve for x
    x = 146,414,259,230,976/8,021,424
  6. Step 6: Final answer
    x = 18,252,901.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.